Optical image capturing system

ABSTRACT

A two-piece optical lens for capturing image and a two-piece optical module for capturing image are provided. In order from an object side to an image side, the optical lens along the optical axis includes a first lens with positive refractive power; and a second lens with refractive power; and at least one of the image-side surface and object-side surface of each of the two lens elements are aspheric. The optical lens can increase aperture value and improve the imagining quality for use in compact cameras.

CROSS-REFERENCE TO RELATED APPLICATION

This application claims the benefit of Taiwan Patent Application No. 104131903, filed on Sep. 25, 2015, in the Taiwan Intellectual Property Office, the disclosure of which is incorporated herein in its entirety by reference.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present disclosure relates to an optical image capturing system, and more particularly to a compact optical image capturing system which can be applied to electronic products.

2. Description of the Related Art

In recent years, with the rise of portable electronic devices having camera functionalities, the demand for an optical image capturing system is raised gradually. The image sensing device of ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). In addition, as advanced semiconductor manufacturing technology enables the minimization of pixel size of the image sensing device, the development of the optical image capturing system directs towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised.

The traditional optical image capturing system of a portable electronic device comes with different designs, and mainly includes a second-lens design. However, the requirement for the higher pixels and the requirement for a large aperture of an end user, like functionalities of micro filming and night view, or the requirement of wide view angle of the portable electronic device have been raised. But the optical image capturing system with the large aperture design often produces more aberration resulting in the deterioration of quality in peripheral image formation and difficulties of manufacturing, and the optical image capturing system with wide view angle design increases distortion rate in image formation, thus the optical image capturing system in prior arts cannot meet the requirement of the higher order camera lens module.

Therefore, how to effectively increase quantity of incoming light and view angle of the optical lenses, not only further improves total pixels and imaging quality for the image formation, but also considers the equity design of the miniaturized optical lenses, becomes a quite important issue.

SUMMARY OF THE INVENTION

The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of two-piece optical lenses (the convex or concave surface in the disclosure denotes the geometrical shape of an image-side surface or an object-side surface of each lens on an optical axis) to increase the quantity of incoming light of the optical image capturing system and the view angle of the optical lenses, and to improve total pixels and imaging quality for image formation, so as to be applied to minimized electronic products.

The term and its definition to the lens element parameter in the embodiment of the present invention are shown as below for further reference.

The lens element parameter related to a length or a height in the lens element

A height for image formation of the optical image capturing system is denoted by HOI. A height of the optical image capturing system is denoted by HOS. A distance from the object-side surface of the first lens element to the image-side surface of the second lens element is denoted by InTL. A distance from the image-side surface of the second lens element to an image plane is denoted by InB, and InTL+InB=HOS A distance from an aperture stop (aperture) to an image plane is denoted by InS. A distance from the first lens element to the second lens element is denoted by IN12 (instance). A central thickness of the first lens element of the optical image capturing system on the optical axis is denoted by TP1 (instance).

The lens element parameter related to a material in the lens element

An Abbe number of the first lens element in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens element is denoted by Nd1 (instance).

The lens element parameter related to a view angle in the lens element

A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA.

The lens element parameter related to exit/entrance pupil in the lens element

An entrance pupil diameter of the optical image capturing system is denoted by HEP. A maximum effective half diameter (EHD) of any surface of a single lens element refers to a perpendicular height between an intersection point on the surface of the lens element where the incident light with the maximum view angle in the optical system passes through the outmost edge of the entrance pupil and the optical axis. For example, the maximum effective half diameter of the object-side surface of the first lens element is denoted by EHD 11. The maximum effective half diameter of the image-side surface of the first lens element is denoted by EHD 12. The maximum effective half diameter of the object-side surface of the second lens element is denoted by EHD 21. The maximum effective half diameter of the image-side surface of the second lens element is denoted by EHD 22. The maximum effective half diameters of any surfaces of other lens elements in the optical image capturing system are denoted in the similar way.

The lens element parameter related to a depth of the lens element shape

A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the object-side surface of the second lens element is denoted by InRS11 (instance). A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface of the second lens element is denoted by InRS22 (instance).

The lens element parameter related to the lens element shape

A critical point C is a tangent point on a surface of a specific lens element, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. To follow the past, a distance perpendicular to the optical axis between a critical point C11 on the object-side surface of the first lens element and the optical axis is HVT11 (instance). A distance perpendicular to the optical axis between a critical point C12 on the image-side surface of the first lens element and the optical axis is HVT12 (instance). A distance perpendicular to the optical axis between a critical point C21 on the object-side surface of the second lens element and the optical axis is HVT21 (instance). A distance perpendicular to the optical axis between a critical point C22 on the image-side surface of the second lens element and the optical axis is HVT22 (instance). Distances perpendicular to the optical axis between critical points on the object-side surfaces or the image-side surfaces of other lens elements and the optical axis are denoted in the similar way described above.

The object-side surface of the second lens element has one inflection point IF211 which is nearest to the optical axis, and the sinkage value of the inflection point IF211 is denoted by SGI211 (instance). SGI211 is a horizontal shift distance in parallel with the optical axis from an axial point on the object-side surface of the second lens element to the inflection point which is nearest to the optical axis on the object-side surface of the second lens element. A distance perpendicular to the optical axis between the inflection point IF211 and the optical axis is HIF211 (instance). The image-side surface of the second lens element has one inflection point IF221 which is nearest to the optical axis and the sinkage value of the inflection point IF221 is denoted by SGI221 (instance). SGI221 is a horizontal shift distance in parallel with the optical axis from an axial point on the image-side surface of the second lens element to the inflection point which is nearest to the optical axis on the image-side surface of the second lens element. A distance perpendicular to the optical axis between the inflection point IF221 and the optical axis is HIF221 (instance).

The object-side surface of the second lens element has one inflection point IF212 which is the second nearest to the optical axis and the sinkage value of the inflection point IF212 is denoted by SGI212 (instance). SGI212 is a horizontal shift distance in parallel with the optical axis from an axial point on the object-side surface of the second lens element to the inflection point which is the second nearest to the optical axis on the object-side surface of the second lens element. A distance perpendicular to the optical axis between the inflection point IF212 and the optical axis is HIF212 (instance). The image-side surface of the second lens element has one inflection point IF222 which is the second nearest to the optical axis and the sinkage value of the inflection point IF222 is denoted by SGI222 (instance). SGI222 is a horizontal shift distance in parallel with the optical axis from an axial point on the image-side surface of the second lens element to the inflection point which is the second nearest to the optical axis on the image-side surface of the second lens element. A distance perpendicular to the optical axis between the inflection point IF222 and the optical axis is HIF222 (instance).

The object-side surface of the second lens element has one inflection point IF213 which is the third nearest to the optical axis and the sinkage value of the inflection point IF213 is denoted by SGI213 (instance). SGI213 is a horizontal shift distance in parallel with the optical axis from an axial point on the object-side surface of the second lens element to the inflection point which is the third nearest to the optical axis on the object-side surface of the second lens element. A distance perpendicular to the optical axis between the inflection point IF213 and the optical axis is HIF213 (instance). The image-side surface of the second lens element has one inflection point IF223 which is the third nearest to the optical axis and the sinkage value of the inflection point IF223 is denoted by SGI223 (instance). SGI223 is a horizontal shift distance in parallel with the optical axis from an axial point on the image-side surface of the second lens element to the inflection point which is the third nearest to the optical axis on the image-side surface of the second lens element. A distance perpendicular to the optical axis between the inflection point IF223 and the optical axis is HIF223 (instance).

The object-side surface of the second lens element has one inflection point IF214 which is the fourth nearest to the optical axis and the sinkage value of the inflection point IF214 is denoted by SGI214 (instance). SGI214 is a horizontal shift distance in parallel with the optical axis from an axial point on the object-side surface of the second lens element to the inflection point which is the fourth nearest to the optical axis on the object-side surface of the second lens element. A distance perpendicular to the optical axis between the inflection point IF614 and the optical axis is HIF214 (instance). The image-side surface of the second lens element has one inflection point IF224 which is the fourth nearest to the optical axis and the sinkage value of the inflection point IF224 is denoted by SGI224 (instance). SGI224 is a horizontal shift distance in parallel with the optical axis from an axial point on the image-side surface of the second lens element to the inflection point which is the fourth nearest to the optical axis on the image-side surface of the second lens element. A distance perpendicular to the optical axis between the inflection point IF224 and the optical axis is HIF224 (instance).

The inflection points on the object-side surfaces or the image-side surfaces of the other lens elements and the distances perpendicular to the optical axis thereof or the sinkage values thereof are denoted in the similar way described above.

The lens element parameter related to an aberration

Optical distortion for image formation in the optical image capturing system is denoted by ODT. TV distortion for image formation in the optical image capturing system is denoted by TDT. Further, the range of the aberration offset for the view of image formation may be limited to 50%400%. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC.

The vertical coordinate axis of the characteristic diagram of modulation transfer function represents a contrast transfer rate (values are from 0 to 1). The horizontal coordinate axis represents a spatial frequency (cycles/mm; 1 p/mm; line pairs per mm). Theoretically, an ideal image capturing system can 100% show the line contrast of a photographed object. However, the values of the contrast transfer rate at the vertical coordinate axis are smaller than 1 in the actual image capturing system. The transfer rate of its comparison value is less than a vertical axis. In addition, comparing to the central region, it is generally more difficult to achieve a fine degree of recovery in the edge region of image capturing. The contrast transfer rates (MTF values) with spatial frequencies of 10 cycles/m at the optical axis, 0.3 field of view and 0.7 field of view of a visible spectrum on the image plane are respectively denoted by MTFE0, MTFE3 and MTFE7. The contrast transfer rates (MTF values) with spatial frequencies of 20 cycles/m at the optical axis, 0.3 field of view and 0.7 field of view on the image plane are respectively denoted by MTFQ0, MTFQ3 and MTFQ7. The contrast transfer rates (MTF values) with spatial frequencies of 40 cycles/m at the optical axis, 0.3 field of view and 0.7 field of view on the image plane are respectively denoted by MTFH0, MTFH3 and MTFH7. The contrast transfer rates (MTF values) with spatial frequencies of 440 cycles/m at the optical axis, 0.3 field of view and 0.7 field of view on the image plane are respectively denoted by MTF0, MTF3 and MTF7. The three fields of view described above are representative to the centre, the internal field of view and the external field of view of the lens elements. Thus, they may be used to evaluate whether the performance of a specific optical image capturing system is excellent. The design of the optical image capturing system of the present invention mainly corresponds to a pixel size in which a sensing device below 1.12 micrometers is includes. Therefore, the quarter spatial frequencies, the half spatial frequencies (half frequencies) and the full spatial frequencies (full frequencies) of the characteristic diagram of modulation transfer function respectively are at least 110 cycles/mm, 220 cycles/mm and 440 cycles/mm.

If an optical image capturing system needs to satisfy with the images aimed to infrared spectrum, such as the requirement for night vision with lower light source, the used wavelength may be 850 nm or 800 nm. As the main function is to recognize shape of an object formed in monochrome and shade, the high resolution is unnecessary, and thus, a spatial frequency, which is less than 110 cycles/mm, is used to evaluate the functionality of the optical image capturing system, when the optical image capturing system is applied to the infrared spectrum. When the foregoing wavelength 850 nm is applied to focus on the image plane, the contrast transfer rates (MTF values) with a spatial frequency of 55 cycles/mm at the optical axis, 0.3 field of view and 0.7 field of view on the image plane are respectively denoted by MTFI0, MTFI3 and MTFI7. However, the infrared wavelength of 850 nm or 800 nm may be hugely different to wavelength of the regular visible light wavelength, and thus, it is hard to design an optical image capturing system which has to focus on the visible light and the infrared light (dual-mode) simultaneously while achieve a certain function respectively.

The disclosure provides an optical image capturing system, an object-side surface or an image-side surface of the second lens element may have inflection points, such that the angle of incidence from each view field to the second lens element can be adjusted effectively and the optical distortion and the TV distortion can be corrected as well. Besides, the surfaces of the second lens element may have a better optical path adjusting ability to acquire better imaging quality.

The disclosure provides an optical image capturing system, in order from an object side to an image side, including a first lens element, a second lens element, and an image plane. The first lens element has refractive power. Focal lengths of the first and the second lens elements are f1 and f2 respectively. A focal length of the optical image capturing system is f. An entrance pupil diameter of the optical image capturing system is HEP. A distance from an object-side surface of the first lens element to the image plane is HOS. Thicknesses in parallel with an optical axis of the first and second lens elements at height 1/2 HEP respectively are ETP1 and ETP2. A sum of ETP1 to ETP2 described above is SETP. Thicknesses of the first and second lens elements on the optical axis respectively are TP1 and TP2. A sum of TP1 and TP2 described above is STP. The following relations are satisfied: 1.2≦f/HEP≦10.0 and 0.5≦SETP/STP<1.

The disclosure provides another optical image capturing system, in order from an object side to an image side, including a first lens element, second lens element and an image plane. The first lens element has positive refractive power, and the position near the optical axis on an object-side surface of the first lens element may be a convex surface. The second lens element has refractive power, and an object-side surface and an image-side surface of the second lens element are aspheric. Any of the first and the second lens elements has at least one inflection point on at least one surface thereof. Focal lengths of the first and the second lens elements are f1 and f2 respectively. A focal length of the optical image capturing system is f. An entrance pupil diameter of the optical image capturing system is HEP. A distance from an object-side surface of the first lens element to the image plane is HOS. A horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height 1/2 HEP to the image plane is ETL. A horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height 1/2 HEP to a coordinate point on the image-side surface of the second lens element at height 1/2 HEP is EIN. The following relations are satisfied: 1.2≦f/HEP≦10.0 and 0.2≦EIN/ETL<1.

The disclosure provides another optical image capturing system, in order from an object side to an image side, including a first lens element, a lens element second, and an image plane. At least one of an object-side surface and an image-side surface of the second lens element has at least one inflection point, wherein the optical image capturing system of the present disclosure has two lens elements with refractive power, and any of the two lens elements respectively has at least one inflection point on at least one surface thereof. The first lens element has positive refractive power. The second lens element has positive refractive power and an object-side surface and an image-side surface of the second lens element are both aspheric. Focal lengths of the first and second lens elements are f1 and f2 respectively. A focal length of the optical image capturing system is f. An entrance pupil diameter of the optical image capturing system is HEP. A half of maximum view angle of the optical image capturing system is HAF. A distance from an object-side surface of the first lens element to the image plane is HOS. A horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height 1/2 HEP to the image plane is ETL. A horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height 1/2 HEP to a coordinate point on the image-side surface of the second lens element at height 1/2 HEP is EIN. The following relations are satisfied: 1.2≦f/HEP≦10; 0.4≦|tan(HAF)|≦6.0 and 0.2≦EIN/ETL<1.

A thickness of a single lens element at height of 1/2 entrance pupil diameter (HEP) particularly affects the corrected aberration of common area of each field of view of light and the capability of correcting optical path difference between each field of view of light in the scope of 1/2 entrance pupil diameter (HEP). The capability of aberration correction is enhanced if the thickness becomes greater, but the difficulty for manufacturing is also increased at the same time. Therefore, it is necessary to control the thickness of a single lens element at height of 1/2 entrance pupil diameter (HEP), in particular to control the ratio relation (ETP/TP) of the thickness (ETP) of the lens element at height of 1/2 entrance pupil diameter (HEP) to the thickness (TP) of the lens element to which the surface belongs on the optical axis. For example, the thickness of the first lens element at height of 1/2 entrance pupil diameter (HEP) is denoted by ETP1. The thickness of the second lens element at height of 1/2 entrance pupil diameter (HEP) is denoted by ETP2. The thicknesses of other lens elements are denoted in the similar way. A sum of ETP1 and ETP2 described above is SETP. The embodiments of the present invention may satisfy the following relation: 0.3≦SETP/EIN<1.

In order to enhance the capability of aberration correction and reduce the difficulty for manufacturing at the same time, it is particularly necessary to control the ratio relation (ETP/TP) of the thickness (ETP) of the lens element at height of 1/2 entrance pupil diameter (HEP) to the thickness (TP) of the lens element on the optical axis lens. For example, the thickness of the first lens element at height of 1/2 entrance pupil diameter (HEP) is denoted by ETP1. The thickness of the first lens element on the optical axis is TP1. The ratio between both of them is ETP1/TP1. The thickness of the second lens element at height of 1/2 entrance pupil diameter (HEP) is denoted by ETP2. The thickness of the second lens element on the optical axis is TP2. The ratio between both of them is ETP2/TP2. The ratio relations of the thicknesses of other lens element in the optical image capturing system at height of 1/2 entrance pupil diameter (HEP) to the thicknesses (TP) of the lens elements on the optical axis lens are denoted in the similar way. The embodiments of the present invention may satisfy the following relation: 0.2≦ETP/TP≦3.

A horizontal distance between two adjacent lens elements at height of 1/2 entrance pupil diameter (HEP) is denoted by ED. The horizontal distance (ED) described above is in parallel with the optical axis of the optical image capturing system and particularly affects the corrected aberration of common area of each field of view of light and the capability of correcting optical path difference between each field of view of light at the position of 1/2 entrance pupil diameter (HEP). The capability of aberration correction may be enhanced if the horizontal distance becomes greater, but the difficulty for manufacturing is also increased and the degree of ‘miniaturization’ to the length of the optical image capturing system is restricted. Thus, it is essential to control the horizontal distance (ED) between two specific adjacent lens elements at height of 1/2 entrance pupil diameter (HEP).

In order to enhance the capability of aberration correction and reduce the difficulty for ‘miniaturization’ to the length of the optical image capturing system at the same time, it is particularly necessary to control the ratio relation (ED/IN) of the horizontal distance (ED) between the two adjacent lens elements at height of 1/2 entrance pupil diameter (HEP) to the horizontal distance (IN) between the two adjacent lens elements on the optical axis. For example, the horizontal distance between the first lens element and the second lens element at height of 1/2 entrance pupil diameter (HEP) is denoted by ED12. The horizontal distance between the first lens element and the second lens element on the optical axis is IN12. The ratio between both of them is ED12/IN12. The ratio relations of the horizontal distances between other two adjacent lens elements in the optical image capturing system at height of 1/2 entrance pupil diameter (HEP) to the horizontal distances between the two adjacent lens elements on the optical axis are denoted in the similar way.

A horizontal distance in parallel with the optical axis from a coordinate point on the image-side surface of the second lens element at height 1/2 HEP to the image plane is EBL. A horizontal distance in parallel with the optical axis from an axial point on the image-side surface of the second lens element to the image plane is BL. The embodiments of the present invention enhance the capability of aberration correction and reserve space for accommodating other optical elements. The following relation may be satisfied: 0.2≦EBL/BL<1.1. The optical image capturing system may further include a light filtration element. The light filtration element is located between the second lens element and the image plane. A distance in parallel with the optical axis from a coordinate point on the image-side surface of the second lens element at height 1/2 HEP to the light filtration element is EIR. A distance in parallel with the optical axis from an axial point on the image-side surface of the second lens element to the light filtration element is PIR. The embodiments of the present invention may satisfy the following relation: 0.1≦EIR/PIR≦1.1.

The optical image capturing system described above may be configured to form the image on the image sensing device which is shorter than 1/1.2 inch in diagonal length. The pixel size of the image sensing device is smaller than 1.4 micrometers (μm). preferably the pixel size thereof is smaller than 1.12 micrometers (μm). The best pixel size thereof is smaller than 0.9 micrometers (μm). Furthermore, the optical image capturing system is applicable to the image sensing device with aspect ratio of 16:9.

The optical image capturing system described above is applicable to the demand of video recording with above millions or ten millions-pixels and leads to a good imaging quality.

The height of optical system (HOS) may be reduced to achieve the minimization of the optical image capturing system when the absolute value of f1 is larger than f1 (|f1|>f2).

When the second lens element has the weak positive refractive power, the positive refractive power of the second lens element can be shared, such that the unnecessary aberration will not appear too early. On the contrary, when the second lens element has the weak negative refractive power, the aberration of the optical image capturing system can be corrected and fine tuned.

The second lens element may have positive refractive power and a concave image-side surface. Hereby, the back focal length is reduced for keeping the miniaturization, to miniaturize the lens element effectively. In addition, at least one of the object-side surface and the image-side surface of the second lens element may have at least one inflection point, such that the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected further.

BRIEF DESCRIPTION OF THE DRAWINGS

The detailed structure, operating principle and effects of the present disclosure will now be described in more details hereinafter with reference to the accompanying drawings that show various embodiments of the present disclosure as follows.

FIG. 1A is a schematic view of the optical image capturing system according to the first embodiment of the present application.

FIG. 1B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the first embodiment of the present application.

FIG. 1C is a characteristic diagram of modulation transfer of a visible light according to the first embodiment of the present application.

FIG. 2A is a schematic view of the optical image capturing system according to the second embodiment of the present application.

FIG. 2B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the second embodiment of the present application.

FIG. 2C is a characteristic diagram of modulation transfer of a visible light according to the second embodiment of the present application.

FIG. 3A is a schematic view of the optical image capturing system according to the third embodiment of the present application.

FIG. 3B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the third embodiment of the present application.

FIG. 3C is a characteristic diagram of modulation transfer of a visible light according to the third embodiment of the present application.

FIG. 4A is a schematic view of the optical image capturing system according to the fourth embodiment of the present application.

FIG. 4B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the fourth embodiment of the present application.

FIG. 4C is a characteristic diagram of modulation transfer of a visible light according to the fourth embodiment of the present application.

FIG. 5A is a schematic view of the optical image capturing system according to the fifth embodiment of the present application.

FIG. 5B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the fifth embodiment of the present application.

FIG. 5C is a characteristic diagram of modulation transfer of a visible light according to the fifth embodiment of the present application.

FIG. 6A is a schematic view of the optical image capturing system according to the sixth embodiment of the present application.

FIG. 6B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the sixth embodiment of the present application.

FIG. 6C is a characteristic diagram of modulation transfer of a visible light according to the sixth embodiment of the present application.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

Reference will now be made in detail to the exemplary embodiments of the present disclosure, examples of which are illustrated in the accompanying drawings. Therefore, it is to be understood that the foregoing is illustrative of exemplary embodiments and is not to be construed as limited to the specific embodiments disclosed, and that modifications to the disclosed exemplary embodiments, as well as other exemplary embodiments, are intended to be included within the scope of the appended claims. These embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the inventive concept to those skilled in the art. The relative proportions and ratios of elements in the drawings may be exaggerated or diminished in size for the sake of clarity and convenience in the drawings, and such arbitrary proportions are only illustrative and not limiting in any way. The same reference numbers are used in the drawings and the description to refer to the same or like parts.

It will be understood that, although the terms ‘first’, ‘second’, ‘third’, etc., may be used herein to describe various elements, these elements should not be limited by these terms. The terms are used only for the purpose of distinguishing one component from another component. Thus, a first element discussed below could be termed a second element without departing from the teachings of embodiments. As used herein, the term “or” includes any and all combinations of one or more of the associated listed items.

An optical image capturing system, in order from an object side to an image side, includes a first, second, third, fourth, fifth and sixth lens elements with refractive power and an image plane. The optical image capturing system may further include an image sensing device which is disposed on an image plane.

The optical image capturing system may use three sets of wavelengths which are 486.1 nm, 587.5 nm and 656.2 nm, respectively, wherein 587.5 nm is served as the primary reference wavelength and a reference wavelength for retrieving technical features. The optical image capturing system may also use five sets of wavelengths which are 470 nm, 510 nm, 555 nm, 610 nm and 650 nm, respectively, wherein 555 nm is served as the primary reference wavelength and a reference wavelength for retrieving technical features.

A ratio of the focal length f of the optical image capturing system to a focal length fp of each of lens elements with positive refractive power is PPR. A ratio of the focal length f of the optical image capturing system to a focal length fn of each of lens elements with negative refractive power is NPR. A sum of the PPR of all lens elements with positive refractive power is ΣPPR. A sum of the NPR of all lens elements with negative refractive powers is ΣNPR. It is beneficial to control the total refractive power and the total length of the optical image capturing system when following conditions are satisfied: 0.5≦ΣPPR/|ΣNPR|≦4.5. Preferably, the following relation may be satisfied: 1≦ΣPPR/|ΣNPR|≦3.8.

The height of the optical image capturing system is HOS. It will facilitate the manufacturing of miniaturized optical image capturing system which may form images with ultra high pixels when the specific ratio value of HOS/f tends to 1.

A sum of a focal length fp of each lens element with positive refractive power is ΣPP. A sum of a focal length fn of each lens element with negative refractive power is ΣNP. In one embodiment of the optical image capturing system of the present disclosure, the following relations are satisfied: 0<ΣPP≦200 and f1/ΣPP≦0.85. Preferably, the following relations may be satisfied: 0<ΣPP≦150 and 0.01≦f1/ΣPP≦0.6. Hereby, it's beneficial to control the focus ability of the optical image capturing system and allocate the positive refractive power of the optical image capturing system appropriately, so as to suppress the significant aberration generating too early. The first lens element has positive refractive power and a convex object-side surface. The first lens element may have positive refractive power, and it has a convex object-side surface. Hereby, strength of the positive refractive power of the first lens element can be fined-tuned, so as to reduce the total length of the optical image capturing system.

The optical image capturing system may further include an image sensing device which is disposed on an image plane. Half of a diagonal of an effective detection field of the image sensing device (imaging height or the maximum image height of the optical image capturing system) is HOI. A distance on the optical axis from the object-side surface of the first lens element to the image plane is HOS. The following relations are satisfied: HOS/HOI≦3 and 0.5≦HOS/f≦3.0. Preferably, the following relations may be satisfied: 1≦HOS/HOI≦2.5 and 1≦HOS/f≦2. Hereby, the miniaturization of the optical image capturing system can be maintained effectively, so as to be carried by lightweight portable electronic devices.

In addition, in the optical image capturing system of the disclosure, according to different requirements, at least one aperture stop may be arranged for reducing stray light and improving the imaging quality.

In the optical image capturing system of the disclosure, the aperture stop may be a front or middle aperture. The front aperture is the aperture stop between a photographed object and the first lens element. The middle aperture is the aperture stop between the first lens element and the image plane. If the aperture stop is the front aperture, a longer distance between the exit pupil and the image plane of the optical image capturing system can be formed, such that more optical elements can be disposed in the optical image capturing system and the efficiency of receiving images of the image sensing device can be raised. If the aperture stop is the middle aperture, the view angle of the optical image capturing system can be expended, such that the optical image capturing system has the same advantage that is owned by wide angle cameras. A distance from the aperture stop to the image plane is InS. The following relation is satisfied: 0.5≦InS/HOS≦1.1. Preferably, the following relation may be satisfied: 0.6≦InS/HOS≦1. Hereby, features of maintaining the minimization for the optical image capturing system and having wide-angle are available simultaneously.

In the optical image capturing system of the disclosure, a distance from the object-side surface of the first lens element to the image-side surface of the second lens element is InTL. A sum of central thicknesses of all lens elements with refractive power on the optical axis is ΣTP. The following relation is satisfied: 0.45≦ΣTP/InTL≦0.95. Hereby, contrast ratio for the image formation in the optical image capturing system and defect-free rate for manufacturing the lens element can be given consideration simultaneously, and a proper back focal length is provided to dispose other optical components in the optical image capturing system.

A curvature radius of the object-side surface of the first lens element is R1. A curvature radius of the image-side surface of the first lens element is R2. The following relation is satisfied: 0.1≦|R1/R2|≦3.0. Hereby, the first lens element may have proper strength of the positive refractive power, so as to avoid the longitudinal spherical aberration to increase too fast. Preferably, the following relation may be satisfied: 0.1≦|R1/R2|≦2.0.

A curvature radius of the object-side surface of the second lens element is R3. A curvature radius of the image-side surface of the second lens element is R4. The following relation is satisfied: −200<(R3−R4)/(R3+R4)<30. Hereby, the astigmatism generated by the optical image capturing system can be corrected beneficially.

A distance between the first lens element and the second lens element on the optical axis is IN12. The following relation is satisfied: 0<IN12/f≦0.30. Preferably, the following relation may be satisfied: 0.01≦IN12/f≦0.25. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.

Central thicknesses of the first lens element and the second lens element on the optical axis are TP1 and TP2, respectively. The following relation is satisfied: 2≦(TP1+IN12)/TP2≦10. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased.

The optical image capturing system of the disclosure satisfies with the following relation: 0.1≦TP1/TP2≦0.6. Hereby, the reduction of the total height of optical system can be given consideration simultaneously and the ability of correcting the aberration can be improved.

A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the object-side surface of the second lens element is denoted by InRS21 (instance). A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface of the second lens element is denoted by InRS22 (instance). A thickness of the second lens element on the optical axis is TP2.

In the optical image capturing system of the disclosure, a distance in parallel with an optical axis from an inflection point on the object-side surface of the second lens element which is nearest to the optical axis to an axial point on the object-side surface of the second lens element is denoted by SGI211. A distance in parallel with an optical axis from an inflection point on the image-side surface of the second lens element which is nearest to the optical axis to an axial point on the image-side surface of the second lens element is denoted by SGI221.

A distance in parallel with the optical axis from the inflection point on the object-side surface of the second lens element which is the second nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI212. A distance in parallel with an optical axis from an inflection point on the image-side surface of the second lens element which is the second nearest to the optical axis to an axial point on the image-side surface of the second lens element is denoted by SGI222.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the second lens element which is nearest to the optical axis and the optical axis is denoted by HIF211. A distance perpendicular to the optical axis between an inflection point on the image-side surface of the second lens element which is nearest to the optical axis and an axial point on the image-side surface of the second lens element is denoted by HIF221.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the second lens element which is the second nearest to the optical axis and the optical axis is denoted by HIF212. A distance perpendicular to the optical axis between an axial point on the image-side surface of the second lens element and an inflection point on the image-side surface of the second lens element which is the second nearest to the optical axis is denoted by HIF222.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the second lens element which is the third nearest to the optical axis and the optical axis is denoted by HIF213. A distance perpendicular to the optical axis between an axial point on the image-side surface of the second lens element and an inflection point on the image-side surface of the second lens element which is the third nearest to the optical axis is denoted by HIF223.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the second lens element which is the fourth nearest to the optical axis and the optical axis is denoted by HIF214. A distance perpendicular to the optical axis between an axial point on the image-side surface of the second lens element and an inflection point on the image-side surface of the second lens element which is the fourth nearest to the optical axis is denoted by HIF224.

In one embodiment of the optical image capturing system of the present disclosure, the chromatic aberration of the optical image capturing system can be corrected by alternatively arranging the lens elements with large Abbe number and small Abbe number.

The above Aspheric formula is: z=ch ²/[1+[1−(k+1)c ² h ²]^(0.5) ]+A4h ⁴ +A6h ⁶ +A8h ⁸ +A10h ¹⁰ +A12h ¹² +A14h ¹⁴ +A16h ¹⁶ +A18h ¹⁸ +A20h ²⁰+ . . .  (1), where z is a position value of the position along the optical axis and at the height h which reference to the surface apex; k is the conic coefficient, c is the reciprocal of curvature radius, and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high order aspheric coefficients.

The optical image capturing system provided by the disclosure, the lens elements may be made of glass or plastic material. If plastic material is adopted to produce the lens elements, the cost of manufacturing will be lowered effectively. If lens elements are made of glass, the heat effect can be controlled and the designed space arranged for the refractive power of the optical image capturing system can be increased. Besides, the object-side surface and the image-side surface of the first and the second lens elements may be aspheric, so as to obtain more control variables. Comparing with the usage of traditional lens element made by glass, the number of lens elements used can be reduced and the aberration can be eliminated. Thus, the total height of the optical image capturing system can be reduced effectively.

In addition, in the optical image capturing system provided by the disclosure, if the lens element has a convex surface, the surface of the lens element adjacent to the optical axis is convex in principle. If the lens element has a concave surface, the surface of the lens element adjacent to the optical axis is concave in principle.

Besides, in the optical image capturing system of the disclosure, according to different requirements, at least one aperture may be arranged for reducing stray light and improving the imaging quality.

In the optical image capturing system of the disclosure, the aperture stop may be a front or middle aperture. The front aperture is the aperture stop between a photographed object and the first lens element. The middle aperture is the aperture stop between the first lens element and the image plane. If the aperture stop is the front aperture, a longer distance between the exit pupil and the image plane of the optical image capturing system can be formed, such that more optical elements can be disposed in the optical image capturing system and the effect of receiving images of the image sensing device can be raised. If the aperture stop is the middle aperture, the view angle of the optical image capturing system can be expended, such that the optical image capturing system has the same advantage that is owned by wide angle cameras.

The optical image capturing system of the disclosure can be adapted to the optical image capturing system with automatic focus if required. With the features of a good aberration correction and a high quality of image formation, the optical image capturing system can be used in various application fields.

The optical image capturing system of the disclosure can include a driving module according to the actual requirements. The driving module may be coupled with the lens elements to enable the lens elements producing displacement. The driving module may be the voice coil motor (VCM) which is applied to move the lens to focus, or may be the optical image stabilization (OIS) which is applied to reduce the distortion frequency owing to the vibration of the lens while shooting.

At least one of the first and second lens elements of the optical image capturing system of the disclosure may further be designed as a light filtration element with a wavelength of less than 500 nm according to the actual requirement. The light filter element may be made by coating at least one surface of the specific lens element characterized of the filter function, and alternatively, may be made by the lens element per se made of the material which is capable of filtering short wavelength.

According to the above embodiments, the specific embodiments with figures are presented in detail as below.

The First Embodiment Embodiment 1

Please refer to FIG. 1A, FIG. 1B, and FIG. 1C. FIG. 1A is a schematic view of the optical image capturing system according to the first embodiment of the present application, FIG. 1B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the first embodiment of the present application, and FIG. 1C is a characteristic diagram of modulation transfer of a visible light according to the first embodiment of the present application. As shown in FIG. 1A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 100, a first lens element 110, a second lens element 120, an IR-bandstop filter 170, an image plane 180, and an image sensing device 190.

The first lens element 110 has positive refractive power and it is made of plastic material. The first lens element 110 has a convex object-side surface 112 and a concave image-side surface 114, and both of the object-side surface 112 and the image-side surface 114 are aspheric. The thickness of the first lens element on the optical axis is TP1. The thickness of the first lens element at height of 1/2 entrance pupil diameter (HEP) is denoted by ETP1.

The second lens element 120 has positive refractive power and it is made of plastic material. The second lens element 120 has a convex object-side surface 122 and a concave image-side surface 124, and both of the object-side surface 122 and the image-side surface 124 are aspheric and have an inflection point. A distance in parallel with an optical axis from an inflection point on the object-side surface of the second lens element which is nearest to the optical axis to an axial point on the object-side surface of the second lens element is denoted by SGI211. A distance in parallel with an optical axis from an inflection point on the image-side surface of the second lens element which is nearest to the optical axis to an axial point on the image-side surface of the second lens element is denoted by SGI221. The following relations are satisfied: SGI211=0.0082 mm, SGI221=0.0017 mm, |SGI211|/(|SGI211|+TP2)=0.02 and |SGI221|/(|SGI221|+TP2)=0.002. The thickness of the second lens element on the optical axis is TP2, and the thickness of the second lens element at height of 1/2 entrance pupil diameter (HEP) is denoted by ETP2.

A distance perpendicular to the optical axis from the inflection point on the object-side surface of the second lens element which is nearest to the optical axis to an axial point on the object-side surface of the second lens element is denoted by HIF111. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the second lens element which is nearest to the optical axis to an axial point on the image-side surface of the second lens element is denoted by HIF121. The following relations are satisfied: HIF111=0.2041 mm, HIF121=0.2073 mm, HIF111/HOI=0.2041, and HIF121/HOI=0.2073.

In the first embodiment, a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height 1/2 HEP to the image plane is ETL. A horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height 1/2 HEP to a coordinate point on the image-side surface of the second lens element at height 1/2 HEP is EIN. The following relations are satisfied: ETL=1.862 mm, EIN=1.011 mm and EIN/ETL=0.543.

The first embodiment satisfies the following relations: ETP1=0.386 mm, ETP2=0.346 mm. A sum of ETP1 and ETP2 described above SETP=0.732 mm. TP1=0.402 mm and TP2=0.357 mm. A sum of TP1 and TP2 described above STP=0.758 mm. SETP/STP=0.965. SETP/EIN=0.724.

The present embodiment particularly controls the ratio relation (ETP/TP) of the thickness (ETP) of each lens element at height of 1/2 entrance pupil diameter (HEP) to the thickness (TP) of the lens element to which the surface belongs on the optical axis in order to achieve a balance between manufacturability and capability of aberration correction. The following relations are satisfied: ETP1/TP1=0.960 and ETP2/TP2=0.969.

The present embodiment controls a horizontal distance between each two adjacent lens elements at height of 1/2 entrance pupil diameter (HEP) to achieve a balance between the degree of miniaturization for the length of the optical image capturing system HOS, the manufacturability and the capability of aberration correction. The ratio relation (ED/IN) of the horizontal distance (ED) between the two adjacent lens elements at height of 1/2 entrance pupil diameter (HEP) to the horizontal distance (IN) between the two adjacent lens elements on the optical axis is particularly controlled. The following relations are satisfied: a horizontal distance in parallel with the optical axis between the first lens element and the second lens element at height of 1/2 entrance pupil diameter (HEP) ED12=0.279 mm.

In the optical image capturing system of the first embodiment, a distance between the first lens element 110 and the second lens element 120 on the optical axis is IN12. The following relations are satisfied: IN12=0.334 mm and ED12/IN12=0.837.

A horizontal distance in parallel with the optical axis from a coordinate point on the image-side surface of the second lens element at height 1/2 HEP to the image plane EBL=0.851 mm. A horizontal distance in parallel with the optical axis from an axial point on the image-side surface of the second lens element to the image plane BL=0.8357 mm. The embodiment of the present invention may satisfy the following relation: EBL/BL=1.0183. In the present invention, a distance in parallel with the optical axis from a coordinate point on the image-side surface of the second lens element at height 1/2 HEP to the IR-bandstop filter EIR=0.001 mm. A distance in parallel with the optical axis from an axial point on the image-side surface of the second lens element to the IR-bandstop filter PIR=0.004 mm. The following relation is satisfied: EIR/PIR=0.268.

The IR-bandstop filter 170 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the second lens element 120 and the image plane 180.

In the optical image capturing system of the first embodiment, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, and half of a maximal view angle of the optical image capturing system is HAF. The detailed parameters are shown as below: f=1.5270 mm, f/HEP=2.52, HAF=32.4537° and tan(HAF)=0.6359.

In the optical image capturing system of the first embodiment, a focal length of the first lens element 110 is f1 and a focal length of the first lens element 110 is f1. The following relations are satisfied: f1=1.8861 mm; f2=4.6465 mm, |f/f1|=0.8096, |f1|<f2, and |f1/f2|=0.4059.

A ratio of the focal length f of the optical image capturing system to a focal length fp of each of lens elements with positive refractive power is PPR. A ratio of the focal length f of the optical image capturing system to a focal length fn of each of lens elements with negative refractive power is NPR. In the optical image capturing system of the first embodiment, a sum of the PPR of all lens elements with positive refractive power is ΣPPR=f/f1+f/f2=1.1382. A sum of the NPR of all lens elements with negative refractive powers is NPR=f/f2=0.4650, ΣPPR/|ΣNPR=3.0391. The following relations are also satisfied: |f/f3|=0.3439, |f1/f2|=0.4349, and |f2/f3|=0.7396.

In the optical image capturing system of the first embodiment, a distance from the object-side surface 112 of the first lens element to the image-side surface 124 of the second lens element is InTL. A distance from the object-side surface 112 of the first lens element to the image plane 180 is HOS. A distance from an aperture 100 to an image plane 180 is InS. Half of a diagonal length of an effective detection field of the image sensing device 190 is HOI. A distance from the image-side surface 124 of the second lens element to the image plane 180 is BFL. The following relations are satisfied: InTL+InB=HOS, HOS=1.9461 mm, HOI=1.0 mm, HOS/HOI=1.9461, HOS/f=1.2745, InTL/HOS=0.5613, InS=1.8621 mm, and InS/HOS=0.9568.

In the optical image capturing system of the first embodiment, a total central thickness of all lens elements with refractive power on the optical axis is ΣTP. The following relations are satisfied: ΣTP=0.7585 mm and ΣTP/InTL=0.6943. Hereby, contrast ratio for the image formation in the optical image capturing system and defect-free rate for manufacturing the lens element can be given consideration simultaneously, and a proper back focal length is provided to dispose other optical components in the optical image capturing system.

In the optical image capturing system of the first embodiment, a curvature radius of the object-side surface 112 of the first lens element is R1. A curvature radius of the image-side surface 114 of the first lens element is R2. The following relation is satisfied: |R1/R2=0.6866. Hereby, the first lens element may have proper strength of the positive refractive power, so as to avoid the longitudinal spherical aberration to increase too fast.

In the optical image capturing system of the first embodiment, a curvature radius of the object-side surface 122 of the second lens element is R3. A curvature radius of the image-side surface 124 of the second lens element is R4. The following relation is satisfied: (R3−R4)/(R3+R4)=−0.7542. Hereby, the astigmatism generated by the optical image capturing system can be corrected beneficially.

In the optical image capturing system of the first embodiment, focal lengths of the first and the second lens elements are f1 and f2 respectively. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relations are satisfied: ΣPP=f1+f2=6.5326 mm and f1/(f1+f2)=0.2887. Hereby, it is favorable for allocating the positive refractive power of the first lens element 110 to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.

In the optical image capturing system of the first embodiment, the focal length of the second lens element 120 is f2. A sum of focal lengths of all lens elements with negative refractive power is ΣNP.

In the optical image capturing system of the first embodiment, a distance between the first lens element 110 and the second lens element 120 on the optical axis is IN12. The following relations are satisfied: IN12=0.3340 mm and IN12/f=0.2187. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.

In the optical image capturing system of the first embodiment, central thicknesses of the first lens element 110 and the second lens element 120 on the optical axis are TP1 and TP2, respectively. The following relations are satisfied: TP1=0.4020 mm, TP2=0.3365 mm, and (TP1+IN12)/TP2=2.0643. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased.

In the optical image capturing system of the first embodiment, the following relations are satisfied: TP1/TP2=1.1275. Hereby, the aberration generated by the process of moving the incident light can be adjusted slightly layer upon layer, and the total height of the optical image capturing system can be reduced.

In the optical image capturing system of the first embodiment, a total central thickness of the first lens element 110 and the second lens element 120 on the optical axis is ΣTP. The following relations are satisfied: TP2/ΣTP=0.4436. Hereby, Hereby, the aberration generated by the process of moving the incident light can be adjusted slightly layer upon layer, and the total height of the optical image capturing system can be reduced.

In the optical image capturing system of the first embodiment, a distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the object-side surface 112 of the first lens element is InRS11. A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface 114 of the first lens element is InRS12. A central thickness of the first lens element 110 is TP1. The following relations are satisfied: InRS11=0.084 mm, InRS12=0.0478 mm, |InRS11|+|InRS12|=0.1318 mm, |InRS11|/TP1=0.2091, and |InRS12|/TP1=0.1188. Hereby, it is favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system.

In the optical image capturing system of the first embodiment, a distance perpendicular to the optical axis between a critical point C11 on the object-side surface 112 of the first lens element and the optical axis is HVT11. A distance perpendicular to the optical axis between a critical point C22 on the image-side surface 114 of the first lens element and the optical axis is HVT12. The following relations are satisfied: HVT11=0 mm and HVT12=0 mm.

In the optical image capturing system of the first embodiment, a distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the object-side surface 122 of the second lens element is InRS21. A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface 124 of the second lens element is InRS22. A central thickness of the second lens element 120 is TP2. The following relations are satisfied: InRS21=−0.0167 mm, InRS22=−0.1294 mm, |InRS21|+|InRS22|=0.1461 mm, |InRS21|/TP2=0.468, and |InRS22|/TP2=0.3629. Hereby, it is favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system.

In the optical image capturing system of the first embodiment, a distance perpendicular to the optical axis between a critical point C21 on the object-side surface 122 of the second lens element and the optical axis is HVT21. A distance perpendicular to the optical axis between a critical point C22 on the image-side surface 124 of the second lens element and the optical axis is HVT22. The following relations are satisfied: HVT21=0.3318 mm and HVT22=0.2980 mm and HVT21/HVT22=1.1134. Hereby, the aberration of surrounding view field can be corrected.

In the optical image capturing system of the first embodiment, the following relation is satisfied: HVT22/HOI=0.2980. Hereby, the aberration of surrounding view field can be corrected.

In the optical image capturing system of the first embodiment, the following relation is satisfied: HVT22/HOS=0.1531 Hereby, the aberration of surrounding view field can be corrected.

In the optical image capturing system of the first embodiment, an Abbe number of the first lens element is NA1. An Abbe number of the second lens element is NA2. The following relations are satisfied: NA1−NA2=32.6166 and NA1/NA2=2.3934. Hereby, the chromatic aberration of the optical image capturing system can be corrected.

In the optical image capturing system of the first embodiment, TV distortion and optical distortion for image formation in the optical image capturing system are TDT and ODT, respectively. The following relations are satisfied: |TDT|=1.1552%, |ODT|=2.1305%.

In the optical image capturing system of the present embodiment, contrast transfer rates of modulation transfer with spatial frequencies of 10 cycles/mm of a visible light at the optical axis on the image plane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 and MTFE7. The following relations are satisfied: MTFE0 is about 0.96, MTFE3 is about 0.95 and MTFE7 is about 0.94. The contrast transfer rates of modulation transfer with spatial frequencies of 20 cycles/mm of a visible light at the optical axis on the image plane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFQ0, MTFQ3 and MTFQ7. The following relations are satisfied: MTFQ0 is about 0.93, MTFQ3 is about 0.9 and MTFQ7 is about 0.9.

Please refer to the following Table 1 and Table 2.

The detailed data of the optical image capturing system of the first embodiment is as shown in Table 1.

TABLE 1 Data of the optical image capturing system f = 1.5270 mm, f/HEP = 2.52, HAF(tan) = 32.4537 deg, tan(HAF) = 0.6359 Surface Abbe Focal # Curvature Radius Thickness Material Index # length 0 Object Plano 600 1 Ape. stop Plano 0.040 2 Lens 1 0.593622567 0.402 Plastic 1.632 23.42 1.886 3 0.864566511 0.151 4 Shading Plano 0.183 sheet 5 Lens 2 2.149136259 0.357 Plastic 1.531 56.04 4.646 6 IR-bandstop 15.33826532 0.004 BK7_SCHOTT filter 7 Plano 0.850 8 Image plane Plano Reference wavelength (d-line) = 555 nm, shield position: clear aperture (CA) of the fourth plano = 0.350 mm As for the parameters of the aspheric surfaces of the first embodiment, reference is made to Table 2.

TABLE 2 Aspheric Coefficients Surface # 2 3 5 6 k = −1.260209E+00   3.752697E+00 −1.533461E+02 −3.276814E+03 A4 =   1.188727E−01   3.780380E−01   8.967125E−01   5.109782E−01 A6 =   2.594904E+01 −4.741825E+00 −1.657671E+01 −6.908232E+00 A8 = −3.720166E+02   6.830764E+01   8.794850E+01   2.187913E+01 A10 =   1.911424E+03 −9.125034E+01 −2.651957E+02 −3.274673E+01 A12 =   7.243751E+03 −2.289203E+03   1.980490E+02 −1.512005E+01 A14 = −7.265856E+04   1.532097E+04   2.486960E+02   8.852130E+01 A16 =   1.667886E+03 −3.062662E+04   1.832814E+02 −7.275365E+01 A18 = 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00 A20 = 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00

Table 1 is the detailed structure data to the first embodiment in FIG. 1A, wherein the unit of the curvature radius, the thickness, the distance, and the focal length is millimeters (mm). Surfaces 0-16 illustrate the surfaces from the object side to the image plane in the optical image capturing system. Table 2 is the aspheric coefficients of the first embodiment, wherein k is the conic coefficient in the aspheric surface formula, and A1-A20 are the first to the twentieth order aspheric surface coefficient. Besides, the tables in the following embodiments are referenced to the schematic view and the aberration graphs, respectively, and definitions of parameters in the tables are equal to those in the Table 1 and the Table 2, so the repetitious details will not be given here.

The Second Embodiment Embodiment 2

Please refer to FIG. 2A, FIG. 2B, and FIG. 2C. FIG. 2A is a schematic view of the optical image capturing system according to the second embodiment of the present application, FIG. 2B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the second embodiment of the present application, and FIG. 2C is a characteristic diagram of modulation transfer of a visible light according to the second embodiment of the present application. As shown in FIG. 2A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 200, a first lens element 210, a second lens element 220, an image plane 280, and an image sensing device 290. The object-side surface of the present embodiment, which is applied to the display designed with Full-HD or WQHD resolution such as HD 1080p display, is served as the purpose of the virtual reality. The imaging system of the present embodiment is designed with the resolution of 10.6 pixel/degree or 5.6 arcmin/pixel.

The first lens element 210 has positive refractive power and it is made of plastic material. The first lens element 210 has a convex object-side surface 212 and a convex image-side surface 214, and both of the object-side surface 212 and the image-side surface 214 are aspheric. The image-side surface 214 has an inflection point.

The second lens element 220 has positive refractive power and it is made of plastic material. The second lens element 220 has a convex object-side surface 222 and a concave image-side surface 224, and both of the object-side surface 222 and the image-side surface 224 are aspheric and have an inflection point.

In the optical image capturing system of the present embodiment, contrast transfer rates of modulation transfer with spatial frequencies of 10 cycles/mm of a visible light at the optical axis on the image plane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 and MTFE7. The following relations are satisfied: MTFE0 is about 0.85, MTFE3 is about 0.27 and MTFE7 is about 0.25.

Please refer to the following Table 3 and Table 4.

The detailed data of the optical image capturing system of the second embodiment is as shown in Table 3.

TABLE 3 Data of the optical image capturing system f = 29.0140 mm; f/HEP = 6.9081; HAF(tan) = 50 deg Surface Abbe Focal # Curvature Radius Thickness Material Index # length 0 Object Plano 600 1 Shading Plano 0.500 sheet 2 Ape. stop Plano 9.500 3 Lens 1 1221.130564 9.924 Plastic 1.491 57.21  43.2287 4 −21.61239783 0.104 5 Lens 2 11.6803482 5.974 Plastic 1.585 29.90 149.8060 6 10.91266851 21.000 7 Plano 0.000 BK7_SCHOTT 1.517 64.13 8 Plano 0.000 9 Image Plano 0.000 plane Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the first surface is 2.10 mm. The clear aperture of the fourth surface is 14.0 mm. As for the parameters of the aspheric surfaces of the second embodiment, reference is made to Table 4.

TABLE 4 Aspheric Coefficients Surface # 3 4 5 6 k =   9.000000E+02   9.943093E−03 −2.424460E+00 −1.647759E+00 A4 =   8.336907E−05 −1.710684E−04 −6.633458E−05   1.822323E−04 A6 = −5.505972E−06   1.259224E−06   3.012070E−06 −3.346886E−06 A8 =   1.867790E−07   2.273300E−09 −7.755593E−08   2.775645E−08 A10 = −3.010150E−09 −5.493100E−10   1.063630E−09 −1.411600E−10 A12 =   2.711000E−11   1.354000E−11 −8.770000E−12   4.600000E−13 A14 = −1.400000E−13 −1.500000E−13   4.000000E−14   0.000000E+00 A16 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00 A18 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00 A20 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00

In the second embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.

The following contents may be deduced from Table 3 and Table 4.

Second embodiment (Primary reference wavelength = 555 nm) ETP1 ETP2 ETP1/TP1 ETP2/TP2 ED12 ED12/IN12 9.816 5.993 0.989 1.003 0.395 3.792 ETL EBL EIN EIR PIR EIN/ETL 37.000 20.796 16.204 20.796 21.000 0.438 BL EBL/BL SETP STP SETP/STP 21 0.9903 15.809 15.899 0.994 InRS11 InRS12 InRS21 InRS22 InRSO InRSI 1.1894 −5.9153 4.6559 9.4333 5.8453 15.3485 Σ |InRS| |InRS11|/TP1 |InRS12|/TP1 |InRS21|/TP2 |InRS22|/TP2 TP1/TP2 21.1938 0.1198 0.5960 0.7793 1.5790 1.6611 |f/f1| |f/f2| |f1/f2| IN12/f HOS/f HOI 0.6712 0.1937 0.2886 0.0036 1.2753 30.0000 HVT11 HVT12 HVT21 HVT22 HVT22/HOI HVT22/HOS 0.0000 0.0000 15.0245 0.0000 0.0000 0.0000 HOS InTL HOS/HOI InS/HOS ODT % TDT % 37.0028 16.0028 1.2334 1.2567 −9.5741 8.0091

The following contents may be deduced from Table 3 and Table 4.

Related inflection point values of second embodiment (Primary reference wavelength: 555 nm) HIF121 12.8088 HIF121/HOI 0.4270 SGI121 −5.1208 |SGI121|/ 0.3404 (|SGI121| + TP1) HIF211 9.6803 HIF211/HOI 0.3227 SGI211  3.1410 |SGI211|/ 0.2404 (|SGI211| + TP2) HIF221 10.3659 HIF221/HOI 0.3455 SGI221  4.5571 |SGI221|/ 0.3147 (|SGI221| + TP2)

The Third Embodiment Embodiment 3

Please refer to FIG. 3A, FIG. 3B, and FIG. 3C. FIG. 3A is a schematic view of the optical image capturing system according to the third embodiment of the present application, FIG. 3B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the third embodiment of the present application, and FIG. 3C is a characteristic diagram of modulation transfer of a visible light according to the third embodiment of the present application. As shown in FIG. 3A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 300, a first lens element 310, a second lens element 320, an image plane 380, and an image sensing device 390. The object-side surface of the present embodiment, which is applied to the display designed with Full-HD or WQHD resolution such as HD 1080p display, is served as the purpose of the virtual reality. The imaging system of the present embodiment is designed with the resolution of 10.6 pixel/degree or 5.6 arcmin/pixel.

The first lens element 310 has positive refractive power and it is made of plastic material. The first lens element 310 has a convex object-side surface 312 and a convex image-side surface 314, and both of the object-side surface 312 and the image-side surface 314 are aspheric. The object-side surface 312 has an inflection point and the image-side surface 314 has two inflection points.

The second lens element 320 has positive refractive power and it is made of plastic material. The second lens element 320 has a convex object-side surface 322 and a concave image-side surface 324, and both of the object-side surface 322 and the image-side surface 324 are aspheric and have an inflection point.

In the optical image capturing system of the present embodiment, contrast transfer rates of modulation transfer with spatial frequencies of 10 cycles/mm of a visible light at the optical axis on the image plane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 and MTFE7. The following relations are satisfied: MTFE0 is about 0.28, MTFE3 is about 0.03 and MTFE7 is about 0.02.

Please refer to the following Table 5 and Table 6.

The detailed data of the optical image capturing system of the third embodiment is as shown in Table 5.

TABLE 5 Data of the optical image capturing system f = 25.6515 mm; f/HEP = 2.7021; HAF(tan) = 49.950 deg Surface Abbe Focal # Curvature Radius Thickness Material Index # length 0 Object Plano 250 1 Shading Plano 0.500 sheet 2 Ape. Stop Plano 9.503 3 Lens 1 657.3110644 10.924 Plastic 1.491 57.21  47.3441 4 −24.044851 0.300 5 Lens 2 13.0574377 6.406 Plastic 1.585 29.90 67.1288 6 15.95830706 21.968 7 Plano 0.800 BK7_SCHOTT 1.517 64.13 8 Plano 0.000 9 Image plane Plano 0.000 Reference wavelength (d-line) = 555 nm, shield position: The clear aperture of the first surface is 5.0 mm. The clear aperture of the fourth surface is 15.50 mm. As for the parameters of the aspheric surfaces of the third embodiment, reference is made to Table 6.

TABLE 6 Aspheric Coefficients Surface # 3 4 5 6 k =   9.000000E+02   3.881472E−02 −2.137457E+00 −9.382222E−01 A4 =   7.805767E−05   8.948627E−05   1.423457E−04   4.019200E−04 A6 = −5.479692E−06 −8.460420E−06 −3.438835E−06 −8.008123E−06 A8 =   1.871386E−07   1.762869E−07   3.221229E−08   7.784628E−08 A10 = −3.010170E−09 −2.180880E−09 −1.273300E−10 −4.417100E−10 A12 =   2.711000E−11   1.949000E−11   0.000000E+00   1.540000E−12 A14 = −1.500000E−13 −1.200000E−13   0.000000E+00   0.000000E+00 A16 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00 A18 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00 A20 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00

The presentation of the aspheric surface formula in the third embodiment is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details will not be given here.

The following contents may be deduced from Table 5 and Table 6.

Third embodiment (Primary reference wavelength: 555 nm) ETP1 ETP2 ETP1/TP1 ETP2/TP2 ED12 ED12/IN12 10.342 6.376 0.947 0.995 1.817 6.058 ETL EBL EIN EIR PIR EIN/ETL 40.366 21.831 18.536 21.031 21.968 0.459 BL EBL/BL SETP STP SETP/STP 22.7676 0.9589 16.718 17.331 0.965 InRS11 InRS12 InRS21 InRS22 InRSO InRSI 1.1615 −6.5629 7.8489 10.8012 9.0103 17.3641 Σ |InRS| |InRS11|/TP1 |InRS12|/TP1 |InRS21|/TP2 |InRS22|/TP2 TP1/TP2 26.3744 0.1063 0.6008 1.2252 1.6860 1.7052 |f/f1| |f/f2| |f1/f2| IN12/f HOS/f HOI 0.5418 0.3821 0.7053 0.0117 1.5749 28.9800 HVT11 HVT12 HVT21 HVT22 HVT22/HOI HVT22/HOS 0.0000 0.0000 18.1122 22.0342 0.7603 0.5454 HOS InTL HOS/HOI InS/HOS ODT % TDT % 40.3982 17.6306 1.3940 1.2352 −11.7974 12.0765

The following contents may be deduced from Table 5 and Table 6.

Related inflection point values of third embodiment (Primary reference wavelength: 555 nm) HIF111 12.2789 HIF111/HOI 0.4237 SGI111 0.8668 |SGI111|/ 0.0735 (|SGI111| + TP1) HIF121 9.7443 HIF121/HOI 0.3362 SGI121 −2.6222 |SGI121|/ 0.1936 (|SGI121| + TP1) HIF122 10.8049 HIF122/HOI 0.3728 SGI122 −3.2072 |SGI122|/ 0.2270 (|SGI122| + TP1) HIF211 13.9313 HIF211/HOI 0.4807 SGI211 6.0323 |SGI211|/ 0.3558 (|SGI211| + TP2) HIF221 13.6413 HIF221/HOI 0.4707 SGI221 6.6306 |SGI221|/ 0.3777 (|SGI221| + TP2)

The Fourth Embodiment Embodiment 4

Please refer to FIG. 4A, FIG. 4B, and FIG. 4C. FIG. 4A is a schematic view of the optical image capturing system according to the fourth embodiment of the present application, FIG. 4B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the fourth embodiment of the present application, and FIG. 4C is a characteristic diagram of modulation transfer of a visible light according to the fourth embodiment of the present application. As shown in FIG. 4A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 400, a first lens element 410, a second lens element 420, an image plane 480, and an image sensing device 490. The object-side surface of the present embodiment, which is applied to the display designed with Full-HD or WQHD resolution such as HD 1080p display, is served as the purpose of the virtual reality. The imaging system of the present embodiment is designed with the resolution of 10.6 pixel/degree or 5.6 arcmin/pixel.

The first lens element 410 has positive refractive power and it is made of plastic material. The first lens element 410 has a convex object-side surface 412 and a convex image-side surface 414, and both of the object-side surface 412 and the image-side surface 414 are aspheric. The image-side surface 414 has three inflection points.

The second lens element 420 has positive refractive power and it is made of plastic material. The second lens element 420 has a convex object-side surface 422 and a concave image-side surface 424, and both of the object-side surface 422 and the image-side surface 424 are aspheric and have an inflection point.

In the optical image capturing system of the present embodiment, contrast transfer rates of modulation transfer with spatial frequencies of 10 cycles/mm of a visible light at the optical axis on the image plane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 and MTFE7. The following relations are satisfied: MTFE0 is about 0.74, MTFE3 is about 0.15 and MTFE7 is about 0.05.

Please refer to the following Table 7 and Table 8.

The detailed data of the optical image capturing system of the fourth embodiment is as shown in Table 7.

TABLE 7 Data of the optical image capturing system f = 32.8882 mm; f/HEP = 8.0215; HAF(tan) = 45.0111 deg Surface Abbe Focal # Curvature Radius Thickness Material Index # length 0 Object Plano At infinity 1 Ape. Stop Plano 10.050 2 Lens 1 457.5384828 9.331 Plastic 1.491 57.21  53.3138 3 −27.67159296 0.315 4 Lens 2 9.966874496 5.351 Plastic 1.585 29.90 129.929 5 9.181169376 23.801 6 Plano 0.000 BK7_SCHOTT 1.517 64.13 7 Plano 0.000 8 Image plane Plano Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the third surface is 14.438 mm. As for the parameters of the aspheric surfaces of the fourth embodiment, reference is made to Table 8.

TABLE 8 Aspheric Coefficients Surface # 2 3 4 5 k =   9.000000E+02 −9.473691E−01 −1.936474E+00 −1.722886E+00 A4 =   7.935230E−05   4.698844E−05   1.774855E−04   3.009292E−04 A6 = −4.291540E−06 −4.392534E−06 −4.457656E−06 −7.870102E−06 A8 =   1.327677E−07   9.066300E−09   1.857921E−08   8.923823E−08 A10 = −1.940420E−09   1.027320E−09   3.365500E−10 −5.690500E−10 A12 =   1.585000E−11 −1.419000E−11 −4.950000E−12   2.200000E−12 A14 = −8.000000E−14   9.000000E−14   3.000000E−14 −1.000000E−14 A16 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00 A18 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00 A20 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00

The presentation of the aspheric surface formula in the fourth embodiment is similar to that in the first embodiment. Besides the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details will not be given here.

The following contents may be deduced from Table 7 and Table 8.

Fourth embodiment (Primary reference wavelength: 555 nm) ETP1 ETP2 ETP1/TP1 ETP2/TP2 ED12 ED12/IN12 9.250 5.371 0.991 1.004 0.602 1.911 ETL EBL EIN EIR PIR EIN/ETL 38.792 23.569 15.223 23.569 23.801 0.392 BL EBL/BL SETP STP SETP/STP 23.8005 0.9903 14.621 14.682 0.996 InRS11 InRS12 InRS21 InRS22 InRSO InRSI 1.7896 −4.4034 6.7315 10.7995 8.5211 15.2029 Σ |InRS| |InRS11|/TP1 |InRS12|/TP1 |InRS21|/TP2 |InRS22|/TP2 TP1/TP2 23.7239 0.1918 0.4719 1.2580 2.0183 1.7439 |f/f1| |f/f2| |f1/f2| IN12/f HOS/f HOI 0.6169 0.2531 0.4103 0.0096 1.1797 30.6000 HVT11 HVT12 HVT21 HVT22 HVT22/HOI HVT22/HOS 0.0000 0.0000 16.0895 0.0000 0.0000 0.0000 HOS InTL HOS/HOI InS/HOS ODT % TDT % 38.7975 14.9970 1.2679 1.2590 −6.6595 2.5701

The following contents may be deduced from Table 7 and Table 8.

Related inflection point values of second embodiment (Primary reference wavelength: 555 nm) HIF121 8.9027 HIF121/HOI 0.2909 SGI121 −1.9636 |SGI121|/ 0.1738 (|SGI121| + TP1) HIF122 10.8875 HIF122/HOI 0.3558 SGI122 −2.8967 |SGI122|/ 0.2369 (|SGI122| + TP1) HIF123 12.6370 HIF123/HOI 0.4130 SGI123 −3.7238 |SGI123|/ 0.2852 (|SGI123| + TP1) HIF211 12.3836 HIF211/HOI 0.4047 SGI211  5.3802 |SGI211|/ 0.3657 (|SGI211| + TP1) HIF221 12.3406 HIF221/HOI 0.4033 SGI221  6.5366 |SGI221|/ 0.4119 (|SGI221| + TP1)

The Fifth Embodiment Embodiment 5

Please refer to FIG. 5A, FIG. 5B, and FIG. 5C. FIG. 5A is a schematic view of the optical image capturing system according to the fifths embodiment of the present application, FIG. 5B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the fifth embodiment of the present application, and FIG. 5C is a characteristic diagram of modulation transfer of a visible light according to the fifth embodiment of the present application. As shown in FIG. 5A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 500, a first lens element 510, a second lens element 520, an image plane 580, and an Image sensing device 590. The object-side surface of the present embodiment, which is applied to the display designed with Full-HD or WQHD resolution such as HD 1080p display, is served as the purpose of the virtual reality. The imaging system of the present embodiment is designed with the resolution of 10.6 pixel/degree or 5.6 arcmin/pixel.

The first lens element 510 has positive refractive power and it is made of plastic material. The first lens element 510 has a convex object-side surface 512 and a convex image-side surface 514, and both of the object-side surface 512 and the image-side surface 514 are aspheric. The image-side surface 514 has three inflection points.

The second lens element 520 has positive refractive power and it is made of plastic material. The second lens element 520 has a convex object-side surface 522 and a concave image-side surface 524, and both of the object-side surface 522 and the image-side surface 524 are aspheric and have an inflection point.

In the optical image capturing system of the present embodiment, contrast transfer rates of modulation transfer with spatial frequencies of 10 cycles/mm of a visible light at the optical axis on the image plane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 and MTFE7. The following relations are satisfied: MTFE0 is about 0.77, MTFE3 is about 0.28 and MTFE7 is about 0.13.

Please refer to the following Table 9 and Table 10.

The detailed data of the optical image capturing system of the fifth embodiment is as shown in Table 9.

TABLE 9 Data of the optical image capturing system f = 28.74091 mm; f/HEP = 7.1852; HAF(tan) = 49.9865 deg Surface Abbe Focal # Curvature Radius Thickness Material Index # length 0 Object Plano At infinity 1 Ape. Stop Plano 8.627 2 Lens 1 414.8192733 9.831 Plastic 1.491 57.21  45.3591 3 −23.42912844 0.184 4 Lens 2 9.706200278 4.407 Plastic 1.585 29.90 110.341 5 9.492285042 21.952 6 Plano 0.000 BK7_SCHOTT 1.517 64.13 7 Plano 0.000 8 Image plane Plano 8.627 Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the second surface is 13.40 mm. As for the parameters of the aspheric surfaces of the fifth embodiment, reference is made to Table 10.

TABLE 10 Aspheric Coefficients Surface # 2 3 4 5 k=   9.000000E+02 −1.589647E+00 −2.104855E+00 −1.452936E+00 A4 =   9.565924E−05 −9.479683E−05 −5.710812E−05   2.751574E−05 A6 = −5.482868E−06 −6.562360E−06   5.008519E−07 −2.634984E−07 A8 =   1.868123E−07   2.320071E−07   3.227850E−09   1.099000E−11 A10 = −3.010060E−09 −4.029440E−09 −8.814000E−11   1.700000E−12 A12 =   2.711000E−11   4.393000E−11   6.700000E−13   0.000000E+00 A14 = −1.400000E−13 −3.000000E−13   0.000000E+00   0.000000E+00 A16 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00 A18 = A20 =

The presentation of the aspheric surface formula in the fifth embodiment is similar to that in the first embodiment. Besides the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details will not be given here.

The following contents may be deduced from Table 9 and Table 10.

Fifth embodiment (Primary reference wavelength: 555 nm) ETP1 ETP2 ETP1/TP1 ETP2/TP2 ED12 ED12/IN12 9.737 4.414 0.991 1.002 0.473 2.580 ETL EBL EIN EIR PIR EIN/ETL 36.367 21.742 14.625 21.742 21.952 0.402 BL EBL/BL SETP STP SETP/STP 21.9520 0.9904 14.152 14.238 0.994 InRS11 InRS12 InRS21 InRS22 InRSO InRSI 2.0261 −4.5526 6.1013 9.8378 8.1274 14.3904 Σ |InRS| |InRS11|/TP1 |InRS12|/TP1 |InRS21|/TP2 |InRS22|/TP2 TP1/TP2 22.5178 0.2061 0.4631 1.3845 2.2324 2.2308 |f/f1| |f/f2| |f1/f2| IN12/f HOS/f HOI 0.6336 0.2605 0.4111 0.0064 1.2656 30.6000 HVT11 HVT12 HVT21 HVT22 HVT22/HOI HVT22/HOS 0.0000 13.6491 15.5498 19.8996 0.6503 0.5471 HOS InTL HOS/HOI InS/HOS ODT % TDT % 36.3731 14.4211 1.1887 1.2372 −10.7970 8.7110

The following contents may be deduced from Table 9 and Table 10.

Related inflection point values of fifth embodiment (Primary reference wavelength: 555 nm) HIF121  8.9488 HIF121/HOI 0.2924 SGI121 −2.3949 |SGI121|/ 0.1959 (|SGI121| + TP1) HIF122 11.2071 HIF122/HOI 0.3662 SGI122 −3.5646 |SGI122|/ 0.2661 (|SGI122| + TP1) HIF123 12.0279 HIF123/HOI 0.3931 SGI123 −3.9714 |SGI123|/ 0.2877 (|SGI123| + TP1) HIF211 10.9565 HIF211/HOI 0.3581 SGI211  4.6289 |SGI211|/ 0.3201 (|SGI211| + TP1) HIF221 10.9510 HIF221/HOI 0.3579 SGI221  5.5510 |SGI221|/ 0.3609 (|SGI221| + TP1)

The Sixth Embodiment Embodiment 6

Please refer to FIG. 6A, FIG. 6B, and FIG. 6C. FIG. 6A is a schematic view of the optical image capturing system according to the sixth Embodiment of the present application, FIG. 6B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the sixth Embodiment of the present application, and FIG. 6C is a characteristic diagram of modulation transfer of a visible light according to the sixth embodiment of the present application. As shown in FIG. 6A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 600, a first lens element 610, a second lens element 620, an image plane 680, and an image sensing device 690. The object-side surface of the present embodiment, which is applied to the display designed with Full-HD or WQHD resolution such as HD 1080p display, is served as the purpose of the virtual reality. The imaging system of the present embodiment is designed with the resolution of 10.6 pixel/degree or 5.6 arcmin/pixel.

The first lens element 610 has positive refractive power and it is made of plastic material. The first lens element 610 has a convex object-side surface 612 and a convex image-side surface 614, and both of the object-side surface 612 and the image-side surface 614 are aspheric. The image-side surface 614 has two inflection points. Wherein the image-side surface 614 is a Fresnel lens consisted of 30 Discrete Zones.

The second lens element 620 has positive refractive power and it is made of plastic material. The second lens element 620 has a convex object-side surface 622 and a concave image-side surface 624, and both of the object-side surface 622 and the image-side surface 624 are aspheric and have an inflection point.

In the optical image capturing system of the present embodiment, contrast transfer rates of modulation transfer with spatial frequencies of 10 cycles/mm of a visible light at the optical axis on the image plane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 and MTFE7. The following relations are satisfied: MTFE0 is about 0.84, MTFE3 is about 0.03 and MTFE7 is about 0.13.

Please refer to the following Table 11 and Table 12.

The detailed data of the optical image capturing system of the sixth Embodiment is as shown in Table 11.

TABLE 11 Data of the optical image capturing system f = 32.3062 mm; f/HEP = 7.6920; HAF = 49.96 deg Surface Abbe Focal # Curvature Radius Thickness Material Index # length 0 Object Plano At infinity 1 Shading Plano 0.500 sheet 2 Ape. Stop Plano 9.470 3 Lens 1 423.4078639 9.347 Plastic 1.491 57.21  42.5093 4 −21.86708632 0.409 5 Lens 2 15.7648588 6.703 Plastic 1.585 29.90 285.482 6 14.65671267 23.369 7 Plano 0.000 8 Image plane Plano 0.000 Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the first surface is 2.10 mm. The clear aperture of the third surface is 12.740 mm. The clear aperture of the fourth surface is 14.540 mm. As for the parameters of the aspheric surfaces of the sixth Embodiment, reference is made to Table 12.

TABLE 12 Aspheric Coefficients Surface # 3 4 5 6 k =   9.000000E+02 −7.106888E−02 −2.291902E+00 −1.656089E+00 A4 =   8.040855E−05 −1.596282E−04 −1.049952E−04   7.257268E−05 A6 = −5.500679E−06   1.279398E−06   2.107174E−06 −1.343912E−06 A8 =   1.868574E−07   2.331230E−09 −5.390666E−08   1.536536E−08 A10 = −3.009760E−09 −5.494800E−10   9.339600E−10 −1.244000E−10 A12 =   2.711000E−11   1.354000E−11 −9.390000E−12   6.300000E−13 A14 = −1.400000E−13 −1.500000E−13   6.000000E−14   0.000000E+00 A16 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00 A18 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00 A20 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00

In the sixth Embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.

The following contents may be deduced from Table 11 and Table 12.

Sixth embodiment (Primary reference wavelength: 555 nm) ETP1 ETP2 ETP1/TP1 ETP2/TP2 ED12 ED12/IN12 9.237 6.717 0.988 1.002 0.650 1.590 ETL EBL EIN EIR PIR EIN/ETL 39.822 23.218 16.604 23.218 23.369 0.417 BL EBL/BL SETP STP SETP/STP 23.3690 0.9935 15.954 16.050 0.994 InRS11 InRS12 InRS21 InRS22 InRSO InRSI 0.8445 −4.8195 3.8953 6.6968 4.7398 11.5163 Σ |InRS| |InRS11|/TP1 |InRS12|/TP1 |InRS21|/TP2 |InRS22|/TP2 TP1/TP2 16.2561 0.0903 0.5156 0.5811 0.9991 1.3945 |f/f1| |f/f2| |f1/f2| IN12/f HOS/f HOI 0.7600 0.1132 0.1489 0.0127 1.2328 30.6000 HVT11 HVT12 HVT21 HVT22 HVT22/HOI HVT22/HOS 0.0000 0.0000 14.5520 0.0000 0.0000 0.0000 HOS InTL HOS/HOI InS/HOS ODT % TDT % 39.8281 16.4591 1.3016 1.2378 −6.8473 5.7012

The following contents may be deduced from Table 11 and Table 12.

Related inflection point values of sixth embodiment (Primary reference wavelength: 555 nm) HIF121 9.1907 HIF121/HOI 0.3003 SGI121 −2.5494 |SGI121|/ 0.2143 (|SGI121| + TP1) HIF122 10.3252 HIF122/HOI 0.3374 SGI122 −3.1710 |SGI122|/ 0.2533 (|SGI122| + TP1) HIF211 10.8872 HIF211/HOI 0.3558 SGI211  2.7901 |SGI211|/ 0.2299 (|SGI211| + TP1) HIF221 11.0916 HIF221/HOI 0.3625 SGI221  3.9875 |SGI122|/ 0.2990 (|SGI122| + TP1)

The above-mentioned descriptions represent merely the exemplary embodiment of the present disclosure, without any intention to limit the scope of the present disclosure thereto. Various equivalent changes, alternations or modifications based on the claims of present disclosure are all consequently viewed as being embraced by the scope of the present disclosure. 

What is claimed is:
 1. An optical image capturing system, from an object side to an image side, comprising: a first lens element with refractive power; a second lens element with refractive power; and an image plane; wherein the optical image capturing system consists of two lens elements with refractive power, at least one of the first and second lens elements has at least one inflection point on at least one surface thereof, at least one of the first and second lens elements has positive refractive power, focal lengths of the first and second lens elements are f1 and f2 respectively, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, a distance on an optical axis from an axial point on an object-side surface of the first lens element to an axial point on the image plane is HOS, thicknesses in parallel with an optical axis of the first and second lens elements at height 1/2 HEP respectively are ETP1 and ETP2, a sum of ETP1 and ETP2 described above is SETP, thicknesses of the first and second lens elements on the optical axis respectively are TP1 and TP2, a sum of TP1 and TP2 described above is STP, and the following relations are satisfied: 1.2≦f/HEP≦10.0, 0.5≦HOS/f≦3 and 0.5≦SETP/STP<1.
 2. The optical image capturing system of claim 1, wherein a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height 1/2 HEP to the image plane is ETL, a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height 1/2 HEP to a coordinate point on the image-side surface of the second lens element at height 1/2 HEP is EIN, and the following relation is satisfied: 0.2≦EIN/ETL<1.
 3. The optical image capturing system of claim 1, wherein a thickness in parallel with the optical axis of the first lens element at height 1/2 HEP is ETP1, a thickness in parallel with the optical axis of the second lens element at height 1/2 HEP is ETP2, the sum of ETP1 and ETP2 described above is SETP, and the following relation is satisfied: 0.3≦SETP/EIN≦0.85.
 4. The optical image capturing system of claim 1, wherein the optical image capturing system comprises a light filtration element, the light filtration element is located between the second lens element and the image plane, a distance in parallel with the optical axis from a coordinate point on the image-side surface of the second lens element at height 1/2 HEP to the light filtration element is EIR, a distance in parallel with the optical axis from an axial point on the image-side surface of the second lens element to the light filtration element is PIR, and the following relation is satisfied: 0.5≦EIR/PIR≦0.8.
 5. The optical image capturing system of claim 1, wherein any of the object-side and image-side surfaces of the second lens element has at least one inflection point.
 6. The optical image capturing system of claim 1, wherein a maximum height for image formation on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI, contrast transfer rates of modulation transfer with space frequencies of 10 cycles/mm (MTF values) at the optical axis on the image plane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 and MTFE7, and the following relations are satisfied: MTFE0≦0.01, MTFE3≦0.01, and MTFE7≦0.01.
 7. The optical image capturing system of claim 1, wherein a half of maximum view angle of the optical image capturing system is HAF, and the following relation is satisfied: 0.4≦|tan(HAF)|≦3.0.
 8. The optical image capturing system of claim 1, wherein a horizontal distance in parallel with the optical axis from a coordinate point on the image-side surface of the second lens element at height 1/2 HEP to the image plane is EBL, a horizontal distance in parallel with the optical axis from an axial point on the image-side surface of the second lens element to the image plane is BL, and the following relation is satisfied: 0.8≦EBL/BL≦1.5.
 9. The optical image capturing system of claim 1, further comprising an aperture stop, a distance from the aperture stop to the image plane on the optical axis is InS, half of a diagonal of an effective detection field of the image sensing device is HOI, an image sensing device is disposed on the image plane, and the following relations are satisfied: 0.5≦InS/HOS≦1.5 and 0≦HIF/HOI≦0.9.
 10. An optical image capturing system, from an object side to an image side, comprising: a first lens element with positive refractive power; a second lens element with refractive power; and an image plane; wherein the optical image capturing system consists of two lens elements with refractive power, the first and second lens elements respectively has at least one inflection point on at least one surface thereof, an object-side surface and an image-side surface of the second lens element are both aspheric, focal lengths of the first and second lens elements are f1 and f2 respectively, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, a distance on an optical axis from an axial point on an object-side surface of the first lens element to an axial point on the image plane is HOS, a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height 1/2 HEP to the image plane is ETL, a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height 1/2 HEP to a coordinate point on the image-side surface of the second lens element at height 1/2 HEP is EIN, and the following relations are satisfied: 1.2≦f/HEP≦10.0, 0.5≦HOS/f≦3.0, and 0.2≦EIN/ETL<1.
 11. The optical image capturing system of claim 10, wherein a thickness of the first lens element on the optical axis is TP1, a thickness of the second lens element on the optical axis is TP2, and the following relation is satisfied: 0.5≦TP1/TP2≦3.
 12. The optical image capturing system of claim 10, wherein a horizontal distance in parallel with the optical axis from a coordinate point on the image-side surface of the second lens element at height 1/2 HEP to a coordinate point on the object-side surface of the second lens element at height 1/2 HEP is ED12, a distance from the first lens element to the second lens element on the optical axis is IN12, and the following relation is satisfied: 0.2≦ED12/IN12≦10.
 13. The optical image capturing system of claim 10, wherein a thickness in parallel with the optical axis of the first lens element at height 1/2 HEP is ETP1, a thickness of the first lens element on the optical axis is TP1, and the following relation is satisfied: 0.5≦ETP1/TP1<1.1.
 14. The optical image capturing system of claim 10, wherein a thickness in parallel with the optical axis of the second lens element at height 1/2 HEP is ETP2, a thickness of the second lens element on the optical axis is TP2, and the following relation is satisfied: 0.5≦ETP2/TP2<1.1.
 15. The optical image capturing system of claim 10, wherein at least one of the object-side and image-side surfaces of the least one of the two lens elements is a Fresnel surface.
 16. The optical image capturing system of claim 10, wherein a distance from the first lens element to the second lens element on the optical axis is IN12, and the following relation is satisfied: 0<IN12/f≦0.3.
 17. The optical image capturing system of claim 10, wherein the optical image capturing system is satisfied: 0 mm<HOS≦50 mm.
 18. The optical image capturing system of claim 10, wherein at least one of the first and second lens elements is a light filtration element with a wavelength of less than 500 nm.
 19. The optical image capturing system of claim 10, wherein the optical image capturing system is satisfied: 0.001≦|f/f1|≦1.5 and 0.01≦|f/f2|≦1.5.
 20. An optical image capturing system, from an object side to an image side, comprising: a first lens element with positive refractive power; a second lens element with positive refractive power; and an image plane; wherein the optical image capturing system consists of two lens elements with refractive power, at least one of the object-side and image-side surfaces of the least one of the two lens elements is a Fresnel surface, focal lengths of the first and second lens elements are f1 and f2 respectively, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, a half of a maximum view angle of the optical image capturing system is HAF, a distance on an optical axis from an axial point on an object-side surface of the first lens element to an axial point on the image plane is HOS, a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height 1/2 HEP to the image plane is ETL, a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height 1/2 HEP to a coordinate point on the image-side surface of the second lens element at height 1/2 HEP is EIN, and the following relations are satisfied: 1.2≦f/HEP≦10.0, 0.5≦HOS/f≦2.5, 0.4≦|tan(HAF)|≦3.0, and 0.2≦EIN/ETL<1.
 21. The optical image capturing system of claim 20, wherein a horizontal distance in parallel with the optical axis from a coordinate point on the image-side surface of the second lens element at height 1/2 HEP to the image plane is EBL, a horizontal distance in parallel with the optical axis from an axial point on the image-side surface of the second lens element to the image plane is BL, and the following relation is satisfied: 0.8≦EBL/BL≦1.5.
 22. The optical image capturing system of claim 21, wherein a distance from the first lens element to the second lens element on the optical axis is IN12, and the following relation is satisfied: 0<IN12/f≦0.3.
 23. The optical image capturing system of claim 20, wherein a maximum height for image formation on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI, contrast transfer rates of modulation transfer with spatial frequencies of 10 cycles/mm at the optical axis on the image plane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 and MTFE7, and the following relations are satisfied: MTFE0≦0.01, MTFE3≦0.01, and MTFE7≦0.01.
 24. The optical image capturing system of claim 23, wherein the optical image capturing system satisfies the following relation: 0 mm<HOS≦50 mm.
 25. The optical image capturing system of claim 23, further comprising an aperture stop, an image sensing device and a driving module, the image sensing device is disposed on the image plane and with at least hundred thousand-pixels, a distance from the aperture stop to the image plane on the optical axis is InS, the driving module couples with the two lens elements to displace the lens elements, and the following relation is satisfied: 0.5≦InS/HOS≦1.5. 